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Finding the Fourth Proportional to 289,366.26, 433,524.45 and 213,652.32

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Solution

The fourth proportional to 289,366.26, 433,524.45 and 213,652.32 is: 320,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,366.26 : 433,524.45 = 213,652.32 : x
  2. Step 2: Convert to fraction form
    289,366.26/433,524.45 = 213,652.32/x
  3. Step 3: Cross multiply
    289,366.26x = 433,524.45 × 213,652.32
  4. Step 4: Simplify right side
    289,366.26x = 92,623,504,519.22
  5. Step 5: Solve for x
    x = 92,623,504,519.22/289,366.26
  6. Step 6: Final answer
    x = 320,090.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.